Title:
Packing-limited growth
Packing-limited growth
| dc.contributor.author | Dodds, Peter Sheridan | en_US |
| dc.contributor.author | Weitz, Joshua S. | en_US |
| dc.contributor.corporatename | Columbia Earth Institute | en_US |
| dc.contributor.corporatename | Massachusetts Institute of Technology. Dept. of Earth, Atmospheric, and Planetary Sciences | en_US |
| dc.contributor.corporatename | Massachusetts Institute of Technology. Dept. of Physics | en_US |
| dc.date.accessioned | 2010-02-05T20:01:47Z | |
| dc.date.available | 2010-02-05T20:01:47Z | |
| dc.date.issued | 2002-05-06 | |
| dc.description | ©2002 The American Physical Society. The electronic version of this article is the complete one and can be found online at: http://link.aps.org/doi/10.1103/PhysRevE.65.056108 | en |
| dc.description | DOI: 10.1103/PhysRevE.65.056108 | |
| dc.description.abstract | We consider growing spheres seeded by random injection in time and space. Growth stops when two spheres meet leading eventually to a jammed state. We study the statistics of growth limited by packing theoretically in d dimensions and via simulation in d52, 3, and 4. We show how a broad class of such models exhibit distributions of sphere radii with a universal exponent. We construct a scaling theory that relates the fractal structure of these models to the decay of their pore space, a theory that we confirm via numerical simulations. The scaling theory also predicts an upper bound for the universal exponent and is in exact agreement with numerical results for d54. | en |
| dc.identifier.citation | Peter Sheridan Dodds and Joshua S. Weitz, "Packing-limited growth," Physical Review E 65, 056108 (2002) | en |
| dc.identifier.doi | 10.1103/PhysRevE.65.056108 | |
| dc.identifier.issn | 1539-3755 | |
| dc.identifier.uri | http://hdl.handle.net/1853/31861 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.publisher.original | American Physical Society | |
| dc.subject | Packing-limited growth | en |
| dc.subject | Fractal dimension | en |
| dc.subject | Pore space volume | en |
| dc.subject | Apollonian sphere packing | |
| dc.title | Packing-limited growth | en |
| dc.type | Text | |
| dc.type.genre | Article | |
| dspace.entity.type | Publication | |
| local.contributor.author | Weitz, Joshua S. | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Biological Sciences | |
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